An SL(2,C)-parametrized family of exactly solvable non-unitary conformal interfaces is constructed on the lattice in unitary CFTs via analytic continuation, leading to a non-unitary Cardy condition and logarithmic entanglement with generally complex effective central charge.
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Analytic continuation of marginal couplings produces complex CFTs, with no genuinely complex rational CFTs existing, and exact defect results verified in non-Hermitian Ising and fermion chains.
Analytic continuation of known conformal data from the Q≤4 Potts loop model yields complex CFTs describing the model for Q>4 and complex Q with suitable complex couplings, supported by transfer-matrix checks.
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Exactly solvable non-unitary conformal interfaces in unitary CFTs
An SL(2,C)-parametrized family of exactly solvable non-unitary conformal interfaces is constructed on the lattice in unitary CFTs via analytic continuation, leading to a non-unitary Cardy condition and logarithmic entanglement with generally complex effective central charge.
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Complex Conformal Manifolds
Analytic continuation of marginal couplings produces complex CFTs, with no genuinely complex rational CFTs existing, and exact defect results verified in non-Hermitian Ising and fermion chains.
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Making complex CFTs real: The two-dimensional Potts model for $Q>4$ and complex $Q$
Analytic continuation of known conformal data from the Q≤4 Potts loop model yields complex CFTs describing the model for Q>4 and complex Q with suitable complex couplings, supported by transfer-matrix checks.